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Finding the Fourth Proportional to 717.45, 990.23 and 465.72

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Solution

The fourth proportional to 717.45, 990.23 and 465.72 is: 642.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.45 : 990.23 = 465.72 : x
  2. Step 2: Convert to fraction form
    717.45/990.23 = 465.72/x
  3. Step 3: Cross multiply
    717.45x = 990.23 × 465.72
  4. Step 4: Simplify right side
    717.45x = 461,167.59
  5. Step 5: Solve for x
    x = 461,167.59/717.45
  6. Step 6: Final answer
    x = 642.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.